Assuming you are referring to Federal taxes, if you have opted to complete your taxes electronically and paid the amount due when prompted by Turbo Tax you should be good to go...no need to print or mail anything. Be sure to monitor the status of the return to ensure the IRS agrees with the amount paid.
State requirements vary by state and may be a little different. For example, in the state of Florida you cant E-file so you would still have to mail in the return and you may not be able to pay any due fees online.